Question

\[2x+3y=5x-y\]

Complete the missing value in the solution to the equation.
\[(\]

\[,0)\]

Answer 1

Solving the equation 2x + 3y = 5x - y for x when y = 0, results in x also being 0. Therefore, the complete solution to the equation is the point (0, 0).

Step-by-step explanation:

The student has provided the algebraic equation 2x + 3y = 5x - y and is seeking the missing value in the solution when y is 0. To solve for x when y = 0, we can manipulate the equation as follows:

1. Add y to both sides to eliminate the negative y on the right side: 2x + 4y = 5x.
2. Now, with y being 0, the equation simplifies to 2x = 5x, since 4 * 0 = 0.
3. Subtract 2x from both sides to get: 0 = 3x.
4. Finally, divide both sides by 3, which reveals that x = 0.

The solution to the equation when y = 0 is (0, 0).